View in EDS PDF Full Text

Global Bifurcation of a Novel Computer Virus Propagation Model.

Saved in:
Bibliographic Details
Title: Global Bifurcation of a Novel Computer Virus Propagation Model.
Authors: Jianguo Ren1 rjgrjgrjgrjg@126.com, Yonghong Xu2, Jiming Liu3
Source: Abstract & Applied Analysis. 2014, p1-6. 6p.
Subjects: Bifurcation theory, Computer virus prevention, Antivirus software, Mathematical analysis, Hopf bifurcations
Abstract: In a recent paper by J. Ren et al. (2012), a novel computer virus propagation model under the effect of the antivirus ability in a real network is established. The analysis there only partially uncovers the dynamics behaviors of virus spread over the network in the case where around bifurcation is local. In the present paper, by mathematical analysis, it is further shown that, under appropriate parameter values, the model may undergo a global B-T bifurcation, and the curves of saddle-node bifurcation, Hopf bifurcation, and homoclinic bifurcation are obtained to illustrate the qualitative behaviors of virus propagation. On this basis, a collection of policies is recommended to prohibit the virus prevalence. To our knowledge, this is the first time the global bifurcation has been explored for the computer virus propagation. Theoretical results and corresponding suggestions may help us suppress or eliminate virus propagation in the network. [ABSTRACT FROM AUTHOR]
Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 100533847
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Global Bifurcation of a Novel Computer Virus Propagation Model.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Jianguo+Ren%22">Jianguo Ren</searchLink><relatesTo>1</relatesTo><i> rjgrjgrjgrjg@126.com</i><br /><searchLink fieldCode="AR" term="%22Yonghong+Xu%22">Yonghong Xu</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Jiming+Liu%22">Jiming Liu</searchLink><relatesTo>3</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Abstract+%26+Applied+Analysis%22">Abstract & Applied Analysis</searchLink>. 2014, p1-6. 6p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Bifurcation+theory%22">Bifurcation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+virus+prevention%22">Computer virus prevention</searchLink><br /><searchLink fieldCode="DE" term="%22Antivirus+software%22">Antivirus software</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Hopf+bifurcations%22">Hopf bifurcations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In a recent paper by J. Ren et al. (2012), a novel computer virus propagation model under the effect of the antivirus ability in a real network is established. The analysis there only partially uncovers the dynamics behaviors of virus spread over the network in the case where around bifurcation is local. In the present paper, by mathematical analysis, it is further shown that, under appropriate parameter values, the model may undergo a global B-T bifurcation, and the curves of saddle-node bifurcation, Hopf bifurcation, and homoclinic bifurcation are obtained to illustrate the qualitative behaviors of virus propagation. On this basis, a collection of policies is recommended to prohibit the virus prevalence. To our knowledge, this is the first time the global bifurcation has been explored for the computer virus propagation. Theoretical results and corresponding suggestions may help us suppress or eliminate virus propagation in the network. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=100533847
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1155/2014/731856
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 6
        StartPage: 1
    Subjects:
      – SubjectFull: Bifurcation theory
        Type: general
      – SubjectFull: Computer virus prevention
        Type: general
      – SubjectFull: Antivirus software
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
      – SubjectFull: Hopf bifurcations
        Type: general
    Titles:
      – TitleFull: Global Bifurcation of a Novel Computer Virus Propagation Model.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Jianguo Ren
      – PersonEntity:
          Name:
            NameFull: Yonghong Xu
      – PersonEntity:
          Name:
            NameFull: Jiming Liu
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: 2014
              Type: published
              Y: 2014
          Identifiers:
            – Type: issn-print
              Value: 10853375
          Titles:
            – TitleFull: Abstract & Applied Analysis
              Type: main
ResultId 1